Absolute Volume Mix Yield

V = \sum \frac{W _{i}}{γ _{w} G _{i}} = \sum \frac{W _{i}}{γ _{i}}

The absolute volume of a batch is the sum of each ingredient weight divided by its density (γw × SG, plus free water). For 1 yd³ = 27 ft³. Yield different from 27 ft³ means over/under yield. Air volume = percent air × total.

$W_{i}$ (lb): Weight of ingredient
$G_{i}$: Specific gravity
$V$ (ft³): Absolute volume

Step-by-step solved example

Cement 564 lb (SG=3.15), water 282 lb (SG=1), no air. Volume of these two?

Absolute volumes of a batch should sum to the design yield.

1. Cement
V_c = 564/(62.4×3.15) = 2.87 ft³.
2. Water
V_w = 282/62.4 = 4.52 ft³. Sum = 7.39 ft³.
$7.39 ft^{3}$

Answer: 7.39 ft³ (cement+water)

10 practice questions

0/10 correct

1.γw in US customary is about

2.1 yd³ =

3.SG of portland cement is about

4.5% air in a 27 ft³ batch is

5.Over-yield means actual volume is

6.SSD aggregate weights already include

7.W = 312 lb water, γw = 62.4. V_w =

8.If yield is 26 ft³ instead of 27, quantities per yd³ will be

9.Absolute volume method is also used in

10.Mass / SG / γw must use